Seoul, South Korea – South Korean President Moon Jae-in has shaken off a suggestion that he receive the Nobel Peace Prize, saying that U.S. President Donald Trump “can take the Nobel prize” as long as the Koreas receive peace in return.

Moon made the comment Monday in response to a suggestion that he receive the award by the widow of late South Korean President Kim Dae-jung, who was awarded the Nobel Peace Prize in 2000 after a summit with then North Korean leader Kim Jong Il.

Moon held a summit with current leader Kim Jong Un last week in which Moon and Kim, the son of Kim Jong Il, walked together across the tense border and agreed to a raft of initiatives meant to ease animosity. Moon responded to the suggestion of Nobel glory by saying, “President Trump can take the Nobel prize. The only thing we need is peace,” according to the South’s presidential office.

South Korea also said Monday that it will remove propaganda-broadcasting loudspeakers from the border with North Korea this week as the rivals move to follow through with their leaders’ summit declaration that produced reconciliation steps without a breakthrough in the nuclear standoff.

During their historic meeting Friday at a Korean border village, Kim and Moon agreed to end hostile acts against each other along their tense border, establish a liaison office and resume reunions of separated families. They also agreed to achieve a nuclear-free Korean Peninsula, but failed to produce specific time frames and disarmament steps.

Seoul’s Defense Ministry said it would pull back dozens of its front-line loudspeakers on Tuesday before media cameras. Ministry spokeswoman Choi Hyunsoo said Seoul expected North Korea to do the same.

South Korea had already turned off its loudspeakers ahead of Friday’s summit talks, and North Korea responded by halting its own broadcasts.

The two Koreas had been engaged in Cold War-era psychological warfare since the North’s fourth nuclear test in early 2016. Seoul began blaring anti-North Korean broadcasts and K-Pop songs via border loudspeakers, and North Korea quickly matched the action with its own border broadcasts and launches of balloons carrying anti-South leaflets.

Seoul’s announcement came a day after it said Kim told Moon during the summit that he would shut down his country’s only known nuclear testing site and allow outside experts and journalists to watch the process.

South Korean officials also cited Kim as saying he would be willing to give up his nuclear programs if the United States commits to a formal end to the Korean War and a pledge not to attack the North. Kim had already suspended his nuclear and missile tests while offering to put his nuclear weapons up for negotiations.

The closing of the Punggy-ri test site, where all six of North Korea’s atomic bomb tests occurred, could be an eye-catching disarmament step by North Korea. But there is still deep skepticism over whether Kim is truly willing to negotiate away the nuclear weapons that his country has built after decades of struggle.

According to a summit accord, Kim and Moon agreed to achieve “a nuclear-free Korean Peninsula through complete denuclearization,” rather than clearly stating “a nuclear-free North Korea.” North Korea has long said the term “denuclearization of the Korean Peninsula” must include the United States pulling its 28,500 troops out of South Korea and removing its so-called “nuclear umbrella” security commitment to South Korea and Japan.

Kim could offer more disarmament concessions during his meeting with Trump, expected in May or June, but it’s unclear what specific steps he would take. Some experts say Kim may announce scraping North Korea’s long-range missile program, which has posed a direct threat to the United States.

Kim’s meeting with Moon was his second summit with a foreign leader since he took office in late 2011. In March, he traveled to Beijing and met with Chinese President Xi Jinping. While meeting with Xi, Kim suggested he prefers a step-by-step disarmament process in line with corresponding outside rewards, according to Chinese state media. U.S. officials want the North to take complete, verifiable and irreversible disarmament measures.

China said Monday that its foreign minister, Wang Yi, will visit Pyongyang, North Korea’s capital, on Wednesday and Thursday.